3 citations · 6 across the 9 of their papers we have counts for
9 papers · 1 filter
Comparing classes of highly symmetric graphs: From -arc-transitive to -distance-transitive
Wei Jin, Jack H. Koolen, Chenhui Lv
A -distance-transitive graph is a vertex-transitive graph whose vertex stabilizer is transitive on both the first- and second-step neighborhoods. This concept simultaneously gen…
Finite -geodesic-transitive digraphs
Wei Jin
This paper initiates the investigation of the family of -geodesic-transitive digraphs with . We first give a global analysis by providing a reduction result. Let $Γ…
Two-arc-transitive bicirculants
Wei Jin
In this paper, we determine the class of finite 2-arc-transitive bicirculants. We show that a connected -arc-transitive bicirculant is one of the following graphs: wher…
Vertex quasiprimitive two-geodesic transitive graphs
Wei Jin
For a non-complete graph , a vertex triple with adjacent to both and is called a -geodesic if and are not adjacent. Then is said to…
Finite 2-arc-transitive strongly regular graphs and 3-geodesic-transitive graphs
Wei Jin, Cheryl E. Praeger
We classify all the -arc-transitive strongly regular graphs, and use this classification to study the family of finite -geodesic-transitive graphs of girth or for…
Arc-transitive bicirculants
Alice Devillers, Michael Giudici, Wei Jin
In this paper, we characterise the family of finite arc-transitive bicirculants. We show that every finite arc-transitive bicirculant is a normal -cover of an arc-transitive gra…
On locally grid graphs
Carmen Amarra, Wei Jin, Cheryl E. Praeger
We investigate locally grid graphs, that is, graphs in which the neighbourhood of any vertex is the Cartesian product of two complete graphs on vertices. We consid…
Finite 2-geodesic transitive graphs of prime valency
Alice Devillers, Wei Jin, Cai Heng Li +1
We classify non-complete prime valency graphs satisfying the property that their automorphism group is transitive on both the set of arcs and the set of -geodesics. We prove tha…
On distance, geodesic and arc transitivity of graphs
Alice Devillers, Wei Jin, Cai Heng Li +1
We compare three transitivity properties of finite graphs, namely, for a positive integer , -distance transitivity, -geodesic transitivity and -arc transitivity. It is…